Two-sided a posteriori error bounds for electro-magnetostatic problems

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

  • D. Pauly - , Institute of Analysis, University of Duisburg-Essen (Author)
  • S. Repin - , RAS - Saint Petersburg Department of Steklov Institute of Mathematics (Author)

Abstract

This paper is concerned with the derivation of computable and guaranteed upper and lower bounds of the difference between exact and approximate solutions of a boundary value problem for static Maxwell equations. Our analysis is based upon purely functional argumentation and does not invoke specific properties of the approximation method. For this reason, the estimates derived in the paper at hand are applicable to any approximate solution that belongs to the corresponding energy space. Such estimates (also called error majorants of the functional type) have been derived earlier for elliptic problems. Bibliography: 24 titles.

Details

Original languageEnglish
Pages (from-to)53-62
Number of pages10
JournalJournal of Mathematical Sciences
Volume166
Issue number1
Publication statusPublished - Mar 2010
Peer-reviewedYes

External IDs

ORCID /0000-0003-4155-7297/work/145224253